Atkin-Lehner |
2- 3- 5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370bz |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4999656960 = -1 · 29 · 37 · 5 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,418,749] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-77:1] |
Generators of the group modulo torsion |
j |
11104492391/6858240 |
j-invariant |
L |
10.721478170368 |
L(r)(E,1)/r! |
Ω |
0.84363563214472 |
Real period |
R |
0.35301832525871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26790g1 |
Quadratic twists by: -3 |